Pith Number

pith:5ANL6GXP

pith:2016:5ANL6GXPCVHAOGMLE2S7Y4Y6CN

not attested not anchored not stored refs pending

Twisted Alexander invariants and Hyperbolic volume

Hiroshi Goda

arxiv:1604.07490 v3 · 2016-04-26 · 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{5ANL6GXPCVHAOGMLE2S7Y4Y6CN}

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	2026-05-18T00:50:22.466022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e81abf1aef154e07198b26a5fc731e135d0dc631d4eb4d1a98ea11a7c17aea1e

Aliases

arxiv: 1604.07490 · arxiv_version: 1604.07490v3 · doi: 10.48550/arxiv.1604.07490 · pith_short_12: 5ANL6GXPCVHA · pith_short_16: 5ANL6GXPCVHAOGML · pith_short_8: 5ANL6GXP

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/5ANL6GXPCVHAOGMLE2S7Y4Y6CN \
  | 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: e81abf1aef154e07198b26a5fc731e135d0dc631d4eb4d1a98ea11a7c17aea1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "002eaecf346f2d70cc1ea6f8037bf189111f2d5906febd6120bbf67d9569fa16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-04-26T01:30:11Z",
    "title_canon_sha256": "f406f5325f9ba6a36fd8ce257744a956f4f50b0ded55fbf17f3d9af0ba374a9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07490",
    "kind": "arxiv",
    "version": 3
  }
}