Pith Number

pith:IKWNLALU

pith:2010:IKWNLALU2YQF6OQLVCDDHF66G6

not attested not anchored not stored refs pending

2 \pi-grafting and complex projective structures, I

Shinpei Baba

arxiv:1011.5051 v5 · 2010-11-23 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IKWNLALU2YQF6OQLVCDDHF66G6}

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	2026-05-18T01:22:29.183107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42acd58174d6205f3a0ba8863397de37ac88c79d81c3c0441c99f89825e479c1

Aliases

arxiv: 1011.5051 · arxiv_version: 1011.5051v5 · doi: 10.48550/arxiv.1011.5051 · pith_short_12: IKWNLALU2YQF · pith_short_16: IKWNLALU2YQF6OQL · pith_short_8: IKWNLALU

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/IKWNLALU2YQF6OQLVCDDHF66G6 \
  | 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: 42acd58174d6205f3a0ba8863397de37ac88c79d81c3c0441c99f89825e479c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4672315fbea7bbb72415372fc612d889ae6a0c951fd48ef257ca63d3e3f54139",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-23T10:39:35Z",
    "title_canon_sha256": "8d2f304fabb57b90088d1c6b747a57c4165bbcccf355923b9387d8f6e2db764c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5051",
    "kind": "arxiv",
    "version": 5
  }
}