Pith Number

pith:TMNIVXNI

pith:2010:TMNIVXNILEBQZIMQCDX5CP6YXE

not attested not anchored not stored refs pending

Multiplicity of continuous maps between manifolds

R.N. Karasev

arxiv:1002.0660 v2 · 2010-02-03 · math.AT · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMNIVXNILEBQZIMQCDX5CP6YXE}

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	2026-05-18T04:25:11.436805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b1a8adda859030ca19010efd13fd8b91be11d0b3be98bc01c8c59b3108cfa04

Aliases

arxiv: 1002.0660 · arxiv_version: 1002.0660v2 · doi: 10.48550/arxiv.1002.0660 · pith_short_12: TMNIVXNILEBQ · pith_short_16: TMNIVXNILEBQZIMQ · pith_short_8: TMNIVXNI

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/TMNIVXNILEBQZIMQCDX5CP6YXE \
  | 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: 9b1a8adda859030ca19010efd13fd8b91be11d0b3be98bc01c8c59b3108cfa04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68c9859ed25722521dc22e16856408c6c9ed525cc8e9d4e1ef76f68103064810",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-02-03T07:43:19Z",
    "title_canon_sha256": "5d70e708646a6ff795e64989e5f32e7a2e5e6aacb223aab2390483d4fa1dbe64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0660",
    "kind": "arxiv",
    "version": 2
  }
}