Pith Number

pith:CDQ4MIL2

pith:2012:CDQ4MIL2VIS4CVG2CRGHVUD5OX

not attested not anchored not stored refs pending

Loose Legendrian embeddings in high dimensional contact manifolds

Emmy Murphy

arxiv:1201.2245 v5 · 2012-01-11 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDQ4MIL2VIS4CVG2CRGHVUD5OX}

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	2026-05-17T23:51:35.107269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10e1c6217aaa25c154da144c7ad07d75cd9c8d0f9af558aae7759d026eb8c574

Aliases

arxiv: 1201.2245 · arxiv_version: 1201.2245v5 · doi: 10.48550/arxiv.1201.2245 · pith_short_12: CDQ4MIL2VIS4 · pith_short_16: CDQ4MIL2VIS4CVG2 · pith_short_8: CDQ4MIL2

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/CDQ4MIL2VIS4CVG2CRGHVUD5OX \
  | 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: 10e1c6217aaa25c154da144c7ad07d75cd9c8d0f9af558aae7759d026eb8c574

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7676a4ae4d07236d8d42c710c410f9c23afc7ac7a1a0f62e4243a6609f5eede",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-01-11T05:39:39Z",
    "title_canon_sha256": "11fef90e63c68cb091fde6d462701e56c8583fd3e6d7f50bda9d78da98bdacde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2245",
    "kind": "arxiv",
    "version": 5
  }
}