Pith Number

pith:ABXJURWT

pith:2022:ABXJURWT6LLOHDPWAWUOAPB6MU

not attested not anchored not stored refs pending

Big Flip Graphs and Their Automorphism Groups

Advay Goel, Assaf Bar-Natan, Brendan Halstead, Paul Hamrick, Rishi Verma, Sumedh Shenoy

arxiv:2201.11272 v1 · 2022-01-27 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABXJURWT6LLOHDPWAWUOAPB6MU}

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	2026-07-05T03:52:00.323323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

006e9a46d3f2d6e38df605a8e03c3e652090c223dd316a92aa850c8afe613236

Aliases

arxiv: 2201.11272 · arxiv_version: 2201.11272v1 · doi: 10.48550/arxiv.2201.11272 · pith_short_12: ABXJURWT6LLO · pith_short_16: ABXJURWT6LLOHDPW · pith_short_8: ABXJURWT

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/ABXJURWT6LLOHDPWAWUOAPB6MU \
  | 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: 006e9a46d3f2d6e38df605a8e03c3e652090c223dd316a92aa850c8afe613236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a9ca6fe1c68a2b6d56958d5d7e66c7dbe63c1193b27d38b2989109d1c78ad13",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-01-27T01:47:47Z",
    "title_canon_sha256": "d9be79d665f80b74733257ce52a73291e22c953da206308c463ec59c3577a482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.11272",
    "kind": "arxiv",
    "version": 1
  }
}