Pith Number

pith:YXGBHW5B

pith:2019:YXGBHW5B5S6BE5XBV4AL7CVLVW

not attested not anchored not stored refs pending

Functorial LCH for immersed Lagrangian cobordisms

Dan Rutherford, Yu Pan

arxiv:1905.08730 v1 · 2019-05-21 · 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{YXGBHW5B5S6BE5XBV4AL7CVLVW}

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	2026-05-17T23:45:42.256031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5cc13dba1ecbc1276e1af00bf8aabadaecb1287ce431fe66f20ed0a1574a493

Aliases

arxiv: 1905.08730 · arxiv_version: 1905.08730v1 · doi: 10.48550/arxiv.1905.08730 · pith_short_12: YXGBHW5B5S6B · pith_short_16: YXGBHW5B5S6BE5XB · pith_short_8: YXGBHW5B

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/YXGBHW5B5S6BE5XBV4AL7CVLVW \
  | 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: c5cc13dba1ecbc1276e1af00bf8aabadaecb1287ce431fe66f20ed0a1574a493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c00a1b364e1ca9a8a483188ae62ebf2838a8121d72419841aac82384b9ca543e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2019-05-21T16:19:17Z",
    "title_canon_sha256": "d33b1eabd9cc9e0c11ead659b546d8027d40d63307dc212d736e41ee88c6ae93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08730",
    "kind": "arxiv",
    "version": 1
  }
}