Pith Number

pith:HZFISMGI

pith:2015:HZFISMGIJL57O26O6LCFTNSJ57

not attested not anchored not stored refs pending

A quantitative version of a theorem by Jungreis

Cristina Pagliantini, Michelle Bucher, Roberto Frigerio

arxiv:1503.03837 v1 · 2015-03-12 · math.GT · math.AT · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZFISMGIJL57O26O6LCFTNSJ57}

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	2026-05-18T02:24:27.155489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e4a8930c84afbf76bcef2c459b649efe0fe71b35721b62fe5ac93601b887557

Aliases

arxiv: 1503.03837 · arxiv_version: 1503.03837v1 · doi: 10.48550/arxiv.1503.03837 · pith_short_12: HZFISMGIJL57 · pith_short_16: HZFISMGIJL57O26O · pith_short_8: HZFISMGI

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/HZFISMGIJL57O26O6LCFTNSJ57 \
  | 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: 3e4a8930c84afbf76bcef2c459b649efe0fe71b35721b62fe5ac93601b887557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a78d642e876992918d925c9761e806da0ce2646121eb7b9524ba49e57aba4655",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-03-12T18:28:13Z",
    "title_canon_sha256": "30aabfad8e098bee7ca7ddde00f35e71e422ada0e21316b23aa6e1fc99a16e6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03837",
    "kind": "arxiv",
    "version": 1
  }
}