Pith Number

pith:MFJZN6VP

pith:2025:MFJZN6VPDXYDPGQVYLIKVGLNGK

not attested not anchored not stored refs pending

Synthetic perspectives on spaces and categories

Emily Riehl

arxiv:2510.15795 v2 · 2025-10-17 · math.CT · math.AT · 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{MFJZN6VPDXYDPGQVYLIKVGLNGK}

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	2026-07-17T01:21:43.335134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

615396faaf1df0379a15c2d0aa996d32a410905a2c7c59dc97cdbf314771919f

Aliases

arxiv: 2510.15795 · arxiv_version: 2510.15795v2 · doi: 10.48550/arxiv.2510.15795 · pith_short_12: MFJZN6VPDXYD · pith_short_16: MFJZN6VPDXYDPGQV · pith_short_8: MFJZN6VP

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/MFJZN6VPDXYDPGQVYLIKVGLNGK \
  | 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: 615396faaf1df0379a15c2d0aa996d32a410905a2c7c59dc97cdbf314771919f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60be3f0f60752a9b60e4b65b8f1368a2bcd63b2bc07d879f14d2e5b3f8161883",
    "cross_cats_sorted": [
      "math.AT",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-10-17T16:16:55Z",
    "title_canon_sha256": "19f3155b12b19e1557e16d413c70be08f1e715611d18dd741a0ad0237dc13dda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.15795",
    "kind": "arxiv",
    "version": 2
  }
}