Pith Number

pith:DAP5L43R

pith:2015:DAP5L43R3FCRZDUGV2Q24THUBH

not attested not anchored not stored refs pending

Problems In Groups, Geometry, and Three-Manifolds

Diane Hoffoss, Jason Fox Manning, Kelly Delp

arxiv:1512.04620 v1 · 2015-12-15 · 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{DAP5L43R3FCRZDUGV2Q24THUBH}

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	2026-05-18T01:24:19.784416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

181fd5f371d9451c8e86aea1ae4cf409ff39fb229261de76f67777abe0bd5035

Aliases

arxiv: 1512.04620 · arxiv_version: 1512.04620v1 · doi: 10.48550/arxiv.1512.04620 · pith_short_12: DAP5L43R3FCR · pith_short_16: DAP5L43R3FCRZDUG · pith_short_8: DAP5L43R

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/DAP5L43R3FCRZDUGV2Q24THUBH \
  | 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: 181fd5f371d9451c8e86aea1ae4cf409ff39fb229261de76f67777abe0bd5035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "574ac3368cce6d0703d4eb1557057ba6e20cb7c5e0e122a2e127e7db6ae6f109",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-15T01:25:31Z",
    "title_canon_sha256": "ca13283209f2cf1eb7898987461af2794814999225935b8c391de648f91675d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04620",
    "kind": "arxiv",
    "version": 1
  }
}