Pith Number

pith:GEFQAZKJ

pith:2023:GEFQAZKJ2EWVUIW6MMRAJPNUFH

not attested not anchored not stored refs pending

Positive flow-spines and contact 3-manifolds, II

Hironobu Naoe, Ippei Ishii, Masaharu Ishikawa, Yuya Koda

arxiv:2304.09635 v1 · 2023-04-19 · math.GT · 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{GEFQAZKJ2EWVUIW6MMRAJPNUFH}

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	2026-07-05T06:02:40.715948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

310b006549d12d5a22de632204bdb429fd6bb1aa96418f492dae835f8cbcd5f7

Aliases

arxiv: 2304.09635 · arxiv_version: 2304.09635v1 · doi: 10.48550/arxiv.2304.09635 · pith_short_12: GEFQAZKJ2EWV · pith_short_16: GEFQAZKJ2EWVUIW6 · pith_short_8: GEFQAZKJ

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/GEFQAZKJ2EWVUIW6MMRAJPNUFH \
  | 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: 310b006549d12d5a22de632204bdb429fd6bb1aa96418f492dae835f8cbcd5f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cab6f992748805f991ad00054ab5e38a9df177198dc204fc98b785992cef4d70",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-04-19T13:19:48Z",
    "title_canon_sha256": "96412b120f42bdcffa1adc1eac96d0f622f8501633eaa93fe4a91fa51cceab1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.09635",
    "kind": "arxiv",
    "version": 1
  }
}