Pith Number

pith:YZTYXR3G

pith:2014:YZTYXR3GTVZXFL44CO7JDWFFBT

not attested not anchored not stored refs pending

Some results on maps that factor through a tree

Roger Z\"ust

arxiv:1408.5619 v3 · 2014-08-24 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YZTYXR3GTVZXFL44CO7JDWFFBT}

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	2026-05-18T02:17:54.486514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6678bc7669d7372af9c13be91d8a50cdd26c158847493eb69953097f5d5bece

Aliases

arxiv: 1408.5619 · arxiv_version: 1408.5619v3 · doi: 10.48550/arxiv.1408.5619 · pith_short_12: YZTYXR3GTVZX · pith_short_16: YZTYXR3GTVZXFL44 · pith_short_8: YZTYXR3G

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/YZTYXR3GTVZXFL44CO7JDWFFBT \
  | 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: c6678bc7669d7372af9c13be91d8a50cdd26c158847493eb69953097f5d5bece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbf711e9a8847a6de64629d925c3ac6f3a02fee43ac7c34c64ef3a612642a446",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-08-24T17:16:15Z",
    "title_canon_sha256": "aba4761d9afa698a38130a70c608740500dcdd0fcf54156a7e12e98d54e7c1a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5619",
    "kind": "arxiv",
    "version": 3
  }
}