Pith Number

pith:7UR4MTPL

pith:2008:7UR4MTPLB3ONMA5N65ZZ4AMCC6

not attested not anchored not stored refs pending

Moves for standard skeleta of 3-manifolds with marked boundary

Gennaro Amendola

arxiv:0804.0706 v2 · 2008-04-04 · 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{7UR4MTPLB3ONMA5N65ZZ4AMCC6}

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	2026-05-17T23:55:23.575512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd23c64deb0edcd603adf7739e018217a8c859d61c275a4fae3c90fb3a5df1c8

Aliases

arxiv: 0804.0706 · arxiv_version: 0804.0706v2 · doi: 10.48550/arxiv.0804.0706 · pith_short_12: 7UR4MTPLB3ON · pith_short_16: 7UR4MTPLB3ONMA5N · pith_short_8: 7UR4MTPL

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/7UR4MTPLB3ONMA5N65ZZ4AMCC6 \
  | 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: fd23c64deb0edcd603adf7739e018217a8c859d61c275a4fae3c90fb3a5df1c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4a2ce17ec04fd2f01b11f93275b32e86e74ee7e9ab4a35473e9f8dde3714dcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-04-04T11:52:32Z",
    "title_canon_sha256": "246576189d68f21f66bb9bbb702d5f29bb980da5a036bc7e82b89a3beeb54ad6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0706",
    "kind": "arxiv",
    "version": 2
  }
}