Pith Number

pith:IZ7RVAKG

pith:2016:IZ7RVAKG2NY54GSVFUCETPRFKD

not attested not anchored not stored refs pending

Shifted cotangent stacks are shifted symplectic

Damien Calaque

arxiv:1612.08101 v2 · 2016-12-23 · math.AG · math.AT · 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{IZ7RVAKG2NY54GSVFUCETPRFKD}

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	2026-05-17T23:49:06.418146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

467f1a8146d371de1a552d0449be2550c1544eb0d76f8ad9a778474cafc0c0f4

Aliases

arxiv: 1612.08101 · arxiv_version: 1612.08101v2 · doi: 10.48550/arxiv.1612.08101 · pith_short_12: IZ7RVAKG2NY5 · pith_short_16: IZ7RVAKG2NY54GSV · pith_short_8: IZ7RVAKG

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/IZ7RVAKG2NY54GSVFUCETPRFKD \
  | 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: 467f1a8146d371de1a552d0449be2550c1544eb0d76f8ad9a778474cafc0c0f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16b989fc812a2aa01c1611890e8be94d30255dc0417ae5c973ce25e7931ac73b",
    "cross_cats_sorted": [
      "math.AT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-23T21:20:53Z",
    "title_canon_sha256": "dbabb7b150a4e72e61e317dd89a62c3d03bf4204e84f4ae5cb4f880f077f9705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08101",
    "kind": "arxiv",
    "version": 2
  }
}