Pith Number

pith:XULTDIJA

pith:2015:XULTDIJAHIZ7XDD4LCTWU2U6MQ

not attested not anchored not stored refs pending

Poisson Structures On Closed Manifolds

Sauvik Mukherjee

arxiv:1503.06723 v5 · 2015-03-23 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XULTDIJAHIZ7XDD4LCTWU2U6MQ}

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	2026-05-18T00:32:03.287230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd1731a1203a33fb8c7c58a76a6a9e641e80675eb6485c54bf6e6b865770501c

Aliases

arxiv: 1503.06723 · arxiv_version: 1503.06723v5 · doi: 10.48550/arxiv.1503.06723 · pith_short_12: XULTDIJAHIZ7 · pith_short_16: XULTDIJAHIZ7XDD4 · pith_short_8: XULTDIJA

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/XULTDIJAHIZ7XDD4LCTWU2U6MQ \
  | 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: bd1731a1203a33fb8c7c58a76a6a9e641e80675eb6485c54bf6e6b865770501c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8835201aae1175a93ceb03b04302343b77935f9dc2234727120ddf0909dfa11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-23T16:57:42Z",
    "title_canon_sha256": "04472f8ec72bab50eb2ecc99b4be203180613790c8c6d91f31e78d474add2436"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06723",
    "kind": "arxiv",
    "version": 5
  }
}