Pith Number

pith:MQEY6ZJF

pith:2026:MQEY6ZJFV6XJOATI7XEBBLVOSV

not attested not anchored not stored refs pending

The Spencer cohomology and integrability of multisymplectic structures

Manuel de Le\'on, Manuel Lainz, Rub\'en Izquierdo-L\'opez

arxiv:2607.05267 v1 · 2026-07-06 · 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{MQEY6ZJFV6XJOATI7XEBBLVOSV}

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	2026-07-07T03:19:21.487144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64098f6525afae970268fdc810aeae9572e3e0cc35be3aff5ab2ffb1a939e29a

Aliases

arxiv: 2607.05267 · arxiv_version: 2607.05267v1 · doi: 10.48550/arxiv.2607.05267 · pith_short_12: MQEY6ZJFV6XJ · pith_short_16: MQEY6ZJFV6XJOATI · pith_short_8: MQEY6ZJF

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/MQEY6ZJFV6XJOATI7XEBBLVOSV \
  | 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: 64098f6525afae970268fdc810aeae9572e3e0cc35be3aff5ab2ffb1a939e29a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b65ca302e1fdaa2bf22f0bc535e2b2a98bed38bf8e1e2163bb1fe826fbd36f40",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-06T16:18:00Z",
    "title_canon_sha256": "108e6d3ce956a966ec189ab5f838481ec492f158879ba2b437356afabad96cfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05267",
    "kind": "arxiv",
    "version": 1
  }
}