Pith Number

pith:LRC46IPX

pith:2014:LRC46IPXCEVBCFXM5WV7PME5XO

not attested not anchored not stored refs pending

Zero-pointed manifolds

David Ayala, John Francis

arxiv:1409.2857 v4 · 2014-09-09 · math.AT · 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{LRC46IPXCEVBCFXM5WV7PME5XO}

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	2026-05-17T23:46:22.306795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c45cf21f7112a1116ecedabf7b09dbb8e830556b57bc2a55b189cda2679646d

Aliases

arxiv: 1409.2857 · arxiv_version: 1409.2857v4 · doi: 10.48550/arxiv.1409.2857 · pith_short_12: LRC46IPXCEVB · pith_short_16: LRC46IPXCEVBCFXM · pith_short_8: LRC46IPX

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/LRC46IPXCEVBCFXM5WV7PME5XO \
  | 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: 5c45cf21f7112a1116ecedabf7b09dbb8e830556b57bc2a55b189cda2679646d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d240d70df0205dc9bb73995f3e67b0ed02ce8f99e7f273ab7f7837c5f742c863",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-09-09T19:55:36Z",
    "title_canon_sha256": "05d3adc490fdc82931f3aa02e0d5ef0d9b27904459a383a712d2b0343f38a52d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2857",
    "kind": "arxiv",
    "version": 4
  }
}