Pith Number

pith:UMKIX4P5

pith:2014:UMKIX4P5A6X55ZKPYXLLTLO73K

not attested not anchored not stored refs pending

On a twisted Reidemeister torsion

Ricardo Garcia Lopez

arxiv:1407.0301 v3 · 2014-07-01 · math.AT · 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{UMKIX4P5A6X55ZKPYXLLTLO73K}

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	2026-05-18T02:18:01.382749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3148bf1fd07afdee54fc5d6b9addfdaa6ad98fafd5bc10dc2ecad015d4364f2

Aliases

arxiv: 1407.0301 · arxiv_version: 1407.0301v3 · doi: 10.48550/arxiv.1407.0301 · pith_short_12: UMKIX4P5A6X5 · pith_short_16: UMKIX4P5A6X55ZKP · pith_short_8: UMKIX4P5

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/UMKIX4P5A6X55ZKPYXLLTLO73K \
  | 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: a3148bf1fd07afdee54fc5d6b9addfdaa6ad98fafd5bc10dc2ecad015d4364f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c568a3ccfcb18d61148e4ceb505cf7578ec5195005e92c7a265a936b131894f7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-07-01T16:16:24Z",
    "title_canon_sha256": "b8fd009edfbc381428abc16a9d0ec59f0d166ab0125ccad34d9ab96cec05e629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0301",
    "kind": "arxiv",
    "version": 3
  }
}