Pith Number

pith:YPMEPTOC

pith:2010:YPMEPTOC2LGTP4VVUJJ34XAPCL

not attested not anchored not stored refs pending

The unification of Mathematics via Topos Theory

Olivia Caramello

arxiv:1006.3930 v1 · 2010-06-20 · math.CT · math.AG · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPMEPTOC2LGTP4VVUJJ34XAPCL}

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.

Cited by

1 paper in Pith

A Graphical Interface for Category Theory Proofs in Coq

Receipt and verification

First computed	2026-07-04T17:30:44.947725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3d847cdc2d2cd37f2b5a253be5c0f12ec2d3719e3890adc0ae8bf44614526bd

Aliases

arxiv: 1006.3930 · arxiv_version: 1006.3930v1 · doi: 10.48550/arxiv.1006.3930 · pith_short_12: YPMEPTOC2LGT · pith_short_16: YPMEPTOC2LGTP4VV · pith_short_8: YPMEPTOC

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/YPMEPTOC2LGTP4VVUJJ34XAPCL \
  | 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: c3d847cdc2d2cd37f2b5a253be5c0f12ec2d3719e3890adc0ae8bf44614526bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbd1097ce0c81a0c3664217cc4a2b5b06b4f95d6dfc1660d6ae6810a6d7cd79d",
    "cross_cats_sorted": [
      "math.AG",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-06-20T12:06:01Z",
    "title_canon_sha256": "3e900ffc5b71e7a7681d8a4656d169b9c22033d5c84a20cb6cc80f71ef9749f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3930",
    "kind": "arxiv",
    "version": 1
  }
}