Pith Number

pith:Q6HAQ3TH

pith:2013:Q6HAQ3THW6634I2J2XNTPZWJKO

not attested not anchored not stored refs pending

Short Homotopically independent loops on surfaces

Steve Karam

arxiv:1310.1269 v1 · 2013-10-04 · 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{Q6HAQ3THW6634I2J2XNTPZWJKO}

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	2026-05-18T02:41:42.140464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

878e086e67b7bdbe2349d5db37e6c953af9b665d7b8c265fdcaceda8e92fc278

Aliases

arxiv: 1310.1269 · arxiv_version: 1310.1269v1 · doi: 10.48550/arxiv.1310.1269 · pith_short_12: Q6HAQ3THW663 · pith_short_16: Q6HAQ3THW6634I2J · pith_short_8: Q6HAQ3TH

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/Q6HAQ3THW6634I2J2XNTPZWJKO \
  | 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: 878e086e67b7bdbe2349d5db37e6c953af9b665d7b8c265fdcaceda8e92fc278

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a69cebc419ab65eb908557de578c6b9956e7587f0b1dac973466c67b0280fc9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-04T13:48:23Z",
    "title_canon_sha256": "530033854ffe7849e15ccf0213615945247fcb358ad4c2c1b3aef17b31631057"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1269",
    "kind": "arxiv",
    "version": 1
  }
}