Pith Number

pith:VGDVRNT4

pith:2017:VGDVRNT4BUH6KV2S5CKPXRICWF

not attested not anchored not stored refs pending

First Betti number of weighted homology group of Hamiltonian vector fields on symplectic tori

Hiroki Kodama, Kentaro Mikami, Tadaysshi Mizutani

arxiv:1705.10894 v2 · 2017-05-30 · 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{VGDVRNT4BUH6KV2S5CKPXRICWF}

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	2026-05-18T00:19:53.693768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a98758b67c0d0fe55752e894fbc502b15f641829d183459899ada6b71b35b8bd

Aliases

arxiv: 1705.10894 · arxiv_version: 1705.10894v2 · doi: 10.48550/arxiv.1705.10894 · pith_short_12: VGDVRNT4BUH6 · pith_short_16: VGDVRNT4BUH6KV2S · pith_short_8: VGDVRNT4

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/VGDVRNT4BUH6KV2S5CKPXRICWF \
  | 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: a98758b67c0d0fe55752e894fbc502b15f641829d183459899ada6b71b35b8bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f62310141a5310eeec145778dfee7829d63a5291f667c322e86042be05742e2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-05-30T23:48:51Z",
    "title_canon_sha256": "818718bec07d8dbfa13ad629bcb4482f8ca103b2a5686bb0cc4a00e99bb7b935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10894",
    "kind": "arxiv",
    "version": 2
  }
}