Pith Number

pith:SBB6FQP2

pith:2026:SBB6FQP2DM4DVUVTN76B26JLEB

not attested not anchored not stored refs pending

On graphs of total projective functions

Stefan Hoffelner

arxiv:2605.21184 v1 · 2026-05-20 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SBB6FQP2DM4DVUVTN76B26JLEB}

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	2026-05-21T01:05:42.271865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9043e2c1fa1b383ad2b36ffc1d792b2041643d6ca6a55c80d5b19a4de226e0e4

Aliases

arxiv: 2605.21184 · arxiv_version: 2605.21184v1 · doi: 10.48550/arxiv.2605.21184 · pith_short_12: SBB6FQP2DM4D · pith_short_16: SBB6FQP2DM4DVUVT · pith_short_8: SBB6FQP2

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/SBB6FQP2DM4DVUVTN76B26JLEB \
  | 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: 9043e2c1fa1b383ad2b36ffc1d792b2041643d6ca6a55c80d5b19a4de226e0e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e5fffb7dcbcd4ea747bd8242de95ebe57744f2ef45edabb40cfbb403fac1d1d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-05-20T13:49:30Z",
    "title_canon_sha256": "d55f086b3dbc534bb5bfe4e191a19c45fbfd0532faead882d0165645ce633adb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21184",
    "kind": "arxiv",
    "version": 1
  }
}