Pith Number

pith:U4TEWNGQ

pith:2016:U4TEWNGQQR7GVGPDA3YAAUSQXU

not attested not anchored not stored refs pending

On parabolic external maps

Carsten Petersen, Luna Lomonaco, Weixiao Shen

arxiv:1603.01609 v2 · 2016-03-04 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4TEWNGQQR7GVGPDA3YAAUSQXU}

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	2026-05-18T00:30:28.838071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7264b34d0847e6a99e306f0005250bd03afc5710d0a9c47d1d8b0b7d679f6d2

Aliases

arxiv: 1603.01609 · arxiv_version: 1603.01609v2 · doi: 10.48550/arxiv.1603.01609 · pith_short_12: U4TEWNGQQR7G · pith_short_16: U4TEWNGQQR7GVGPD · pith_short_8: U4TEWNGQ

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/U4TEWNGQQR7GVGPDA3YAAUSQXU \
  | 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: a7264b34d0847e6a99e306f0005250bd03afc5710d0a9c47d1d8b0b7d679f6d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d73150f314240ffcb966fc672c5e0096eb6fb93a75e0346d1c8f8659d20f08f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-04T20:59:42Z",
    "title_canon_sha256": "60ea6a7c20aca5cf7864e486dda7667a84f8a6b1a866582363036f50de24711f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01609",
    "kind": "arxiv",
    "version": 2
  }
}