Pith Number

pith:I7TWI3W4

pith:2015:I7TWI3W4GXRCNNOJSTGBAIEQVQ

not attested not anchored not stored refs pending

The inclusion of configuration spaces of surfaces in Cartesian products, its induced homomorphism, and the virtual cohomological dimension of the braid groups of S^2 and RP^2

Daciberg Lima Gon\c{c}alves, John Guaschi (LMNO)

arxiv:1511.02101 v1 · 2015-11-06 · math.GT · math.AT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7TWI3W4GXRCNNOJSTGBAIEQVQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:49:52.525116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47e7646edc35e226b5c994cc102090ac0bb173cecab2a503422a2dcc1952ee28

Aliases

arxiv: 1511.02101 · arxiv_version: 1511.02101v1 · doi: 10.48550/arxiv.1511.02101 · pith_short_12: I7TWI3W4GXRC · pith_short_16: I7TWI3W4GXRCNNOJ · pith_short_8: I7TWI3W4

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/I7TWI3W4GXRCNNOJSTGBAIEQVQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 47e7646edc35e226b5c994cc102090ac0bb173cecab2a503422a2dcc1952ee28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b404545ac68167b1f90e8f9657abbe329a402253a0290e9a396520074341aa6",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-11-06T14:57:40Z",
    "title_canon_sha256": "fbf882f21fec48f68e711038f323eff02b93e7e61862839c04a4ab904103fb17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02101",
    "kind": "arxiv",
    "version": 1
  }
}