Pith Number

pith:AWTLLL6J

pith:2016:AWTLLL6JR24QU34VEV34KSLVTM

not attested not anchored not stored refs pending

Multipliers between model spaces

Andreas Hartmann (IMB), Emmanuel Fricain (LPP), William T. Ross

arxiv:1605.07418 v3 · 2016-05-24 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AWTLLL6JR24QU34VEV34KSLVTM}

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	2026-05-18T00:34:57.942176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05a6b5afc98eb90a6f952577c549759b04b58b0aed0701005e2a58b99b7c796a

Aliases

arxiv: 1605.07418 · arxiv_version: 1605.07418v3 · doi: 10.48550/arxiv.1605.07418 · pith_short_12: AWTLLL6JR24Q · pith_short_16: AWTLLL6JR24QU34V · pith_short_8: AWTLLL6J

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/AWTLLL6JR24QU34VEV34KSLVTM \
  | 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: 05a6b5afc98eb90a6f952577c549759b04b58b0aed0701005e2a58b99b7c796a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "180bd510c22e6a559bf19e00c2166fb8b60a6d09f38d906953753db7e0460d4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-05-24T12:37:56Z",
    "title_canon_sha256": "d3b3e86c13ef83557c976fc0cf1a627c7b788c316370611edf4b5775fdf0f08e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07418",
    "kind": "arxiv",
    "version": 3
  }
}