Pith Number

pith:YDFJDW66

pith:2016:YDFJDW66VONMDHU35XPEKR3PKH

not attested not anchored not stored refs pending

Topological Entropy and bulging deformation of real projective structures on surface

Inkang Kim, Patrick Foulon

arxiv:1608.06799 v4 · 2016-08-24 · 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{YDFJDW66VONMDHU35XPEKR3PKH}

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	2026-05-18T01:00:52.559477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0ca91dbdeab9ac19e9bedde45476f51e27501cec0fc53f31ac1701e21be9ccc

Aliases

arxiv: 1608.06799 · arxiv_version: 1608.06799v4 · doi: 10.48550/arxiv.1608.06799 · pith_short_12: YDFJDW66VONM · pith_short_16: YDFJDW66VONMDHU3 · pith_short_8: YDFJDW66

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/YDFJDW66VONMDHU35XPEKR3PKH \
  | 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: c0ca91dbdeab9ac19e9bedde45476f51e27501cec0fc53f31ac1701e21be9ccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec698a20bd8f69b9703c033b30a3512fb67d2aa20edb98d63fc7da6f4b3ad8cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-08-24T12:52:06Z",
    "title_canon_sha256": "ea1947989506151e284debcb28ae9ca75aec6b7d2fab52c88982f08f75b6ef90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06799",
    "kind": "arxiv",
    "version": 4
  }
}