Pith Number

pith:BXUPFO75

pith:2020:BXUPFO757UZM4GXPTWFELVOBUC

not attested not anchored not stored refs pending

Counting essential surfaces in 3-manifolds

J. Hyam Rubinstein, Nathan M. Dunfield, Stavros Garoufalidis

arxiv:2007.10053 v3 · 2020-07-20 · 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{BXUPFO757UZM4GXPTWFELVOBUC}

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	2026-07-05T03:51:03.971979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0de8f2bbfdfd32ce1aef9d8a45d5c1a0a6d3f61b0a2ba94d5836d6400af0a425

Aliases

arxiv: 2007.10053 · arxiv_version: 2007.10053v3 · doi: 10.48550/arxiv.2007.10053 · pith_short_12: BXUPFO757UZM · pith_short_16: BXUPFO757UZM4GXP · pith_short_8: BXUPFO75

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/BXUPFO757UZM4GXPTWFELVOBUC \
  | 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: 0de8f2bbfdfd32ce1aef9d8a45d5c1a0a6d3f61b0a2ba94d5836d6400af0a425

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "494daa3f97d3bae1049edc3729153b86eb0eb24ad86d4a268805a3ff123027d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-07-20T12:46:58Z",
    "title_canon_sha256": "529cc40a57cf273a0cfcb3a8ffb65dd84f39af3c53ff6c1fddd0e4d99e9ce548"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.10053",
    "kind": "arxiv",
    "version": 3
  }
}