Pith Number

pith:5YFEDKSL

pith:2019:5YFEDKSLB5YPSCDQLZT4DBEK3K

not attested not anchored not stored refs pending

Discounted Gottschalk-Hedlund theorem

Philippe Thieullen, Xifeng SU

arxiv:1901.07712 v1 · 2019-01-23 · math.DS · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YFEDKSLB5YPSCDQLZT4DBEK3K}

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	2026-05-17T23:55:41.749491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee0a41aa4b0f70f908705e67c1848ada8ec60254af42ca5e667fd3a642b391a9

Aliases

arxiv: 1901.07712 · arxiv_version: 1901.07712v1 · doi: 10.48550/arxiv.1901.07712 · pith_short_12: 5YFEDKSLB5YP · pith_short_16: 5YFEDKSLB5YPSCDQ · pith_short_8: 5YFEDKSL

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/5YFEDKSLB5YPSCDQLZT4DBEK3K \
  | 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: ee0a41aa4b0f70f908705e67c1848ada8ec60254af42ca5e667fd3a642b391a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2bd5ec7aacbf0a8674e12446fbcbc06d3c5a3ce9dbb47cc514113740a179df8",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-01-23T03:54:51Z",
    "title_canon_sha256": "9276f167f41a57d5fa8121a735db2a24469ed5a00810c8ea98f3ff792f6eccea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07712",
    "kind": "arxiv",
    "version": 1
  }
}