Pith Number

pith:EDDNQ2M7

pith:2019:EDDNQ2M7BGSGO7RXD7TW6MU5RG

not attested not anchored not stored refs pending

Embolic volume and Betti numbers

Lizhi Chen

arxiv:1911.10767 v1 · 2019-11-25 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EDDNQ2M7BGSGO7RXD7TW6MU5RG}

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	2026-07-05T00:21:42.598748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20c6d8699f09a4677e371fe76f329d899ac2740924979bdd48c36796551cad08

Aliases

arxiv: 1911.10767 · arxiv_version: 1911.10767v1 · doi: 10.48550/arxiv.1911.10767 · pith_short_12: EDDNQ2M7BGSG · pith_short_16: EDDNQ2M7BGSGO7RX · pith_short_8: EDDNQ2M7

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/EDDNQ2M7BGSGO7RXD7TW6MU5RG \
  | 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: 20c6d8699f09a4677e371fe76f329d899ac2740924979bdd48c36796551cad08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe082a4d1e15548388eb21ce907d7983a7065efeefec3699862eb4b96a001307",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-11-25T08:40:28Z",
    "title_canon_sha256": "4bdced1fcda706fb6d1aa5a8bada50db885ea18c01928d895f247543c8127579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.10767",
    "kind": "arxiv",
    "version": 1
  }
}