Pith Number

pith:3VES2X4W

pith:2017:3VES2X4WALE7S6HWVCVTVJEWSL

not attested not anchored not stored refs pending

Temporal Type Theory: A topos-theoretic approach to systems and behavior

David I. Spivak, Patrick Schultz

arxiv:1710.10258 v3 · 2017-10-27 · math.CT · 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{3VES2X4WALE7S6HWVCVTVJEWSL}

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.

Cited by

1 paper in Pith

Towards a Unified Theory of Time-Varying Data

Receipt and verification

First computed	2026-05-18T00:27:18.518941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd492d5f9602c9f978f6a8ab3aa49692cf87e56d5fb6e15e09ccda085571baf5

Aliases

arxiv: 1710.10258 · arxiv_version: 1710.10258v3 · doi: 10.48550/arxiv.1710.10258 · pith_short_12: 3VES2X4WALE7 · pith_short_16: 3VES2X4WALE7S6HW · pith_short_8: 3VES2X4W

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/3VES2X4WALE7S6HWVCVTVJEWSL \
  | 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: dd492d5f9602c9f978f6a8ab3aa49692cf87e56d5fb6e15e09ccda085571baf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "876f60ef7bcabe4f3069cc4c09988aec9ca8db884c0b10ab6c785583bb4e5781",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-10-27T17:58:12Z",
    "title_canon_sha256": "e7eace6af2d649be43364cccf552e7d4eb2c7fbd78ea4c77383f09cdb469cd37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10258",
    "kind": "arxiv",
    "version": 3
  }
}