Pith Number

pith:AXIW6TGD

pith:2016:AXIW6TGDUAWG5BBOWI6CCPPCB2

not attested not anchored not stored refs pending

Winding numbers of regular closed curves on aspherical surfaces

Masayuki Yamasaki

arxiv:1602.02464 v2 · 2016-02-08 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXIW6TGDUAWG5BBOWI6CCPPCB2}

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	2026-05-18T00:38:23.576425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05d16f4cc3a02c6e842eb23c213de20e836424b84ada310859ce6a73fd8925c9

Aliases

arxiv: 1602.02464 · arxiv_version: 1602.02464v2 · doi: 10.48550/arxiv.1602.02464 · pith_short_12: AXIW6TGDUAWG · pith_short_16: AXIW6TGDUAWG5BBO · pith_short_8: AXIW6TGD

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/AXIW6TGDUAWG5BBOWI6CCPPCB2 \
  | 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: 05d16f4cc3a02c6e842eb23c213de20e836424b84ada310859ce6a73fd8925c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd7f86fd321c33173370e2ffc3c7fd9b16040af564b2d1f4bc564c09f34db28f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-02-08T04:59:51Z",
    "title_canon_sha256": "7022bce448d0687daa7803af10dd26414fff86388fd61d44fc0e905a2ff9480a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02464",
    "kind": "arxiv",
    "version": 2
  }
}