Pith Number

pith:TWNBGYT2

pith:2015:TWNBGYT2TK4YOYRS65DB2RSDA5

not attested not anchored not stored refs pending

Lagrangian cobordism and metric invariants

Egor Shelukhin, Octav Cornea

arxiv:1511.08550 v1 · 2015-11-27 · 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{TWNBGYT2TK4YOYRS65DB2RSDA5}

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	2026-05-18T01:25:53.799216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d9a13627a9ab9876232f7461d4643074e8ee1bb1fe98cca84d2548ef4143186

Aliases

arxiv: 1511.08550 · arxiv_version: 1511.08550v1 · doi: 10.48550/arxiv.1511.08550 · pith_short_12: TWNBGYT2TK4Y · pith_short_16: TWNBGYT2TK4YOYRS · pith_short_8: TWNBGYT2

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/TWNBGYT2TK4YOYRS65DB2RSDA5 \
  | 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: 9d9a13627a9ab9876232f7461d4643074e8ee1bb1fe98cca84d2548ef4143186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca3dd8b8ef3ff067fbadc201e6c1dce21e289d20d862be4394ff200c5c4a8440",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-11-27T03:28:23Z",
    "title_canon_sha256": "9edd65672b17841892561c4fc1fe025fe2d45aa0df3a9a6df3efdf4825ef3d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08550",
    "kind": "arxiv",
    "version": 1
  }
}