Pith Number

pith:3ZUFF3ET

pith:2015:3ZUFF3ETM256G7ANS4NQI3XB2C

not attested not anchored not stored refs pending

Mean curvature flow of an entire graph evolving away from the heat flow

Gregory Drugan, Xuan Hien Nguyen

arxiv:1511.07985 v2 · 2015-11-25 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZUFF3ETM256G7ANS4NQI3XB2C}

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	2026-05-18T01:07:58.392481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de6852ec9366bbe37c0d971b046ee1d0b6e688b36e36eb0d6cf8e41f038a6d5d

Aliases

arxiv: 1511.07985 · arxiv_version: 1511.07985v2 · doi: 10.48550/arxiv.1511.07985 · pith_short_12: 3ZUFF3ETM256 · pith_short_16: 3ZUFF3ETM256G7AN · pith_short_8: 3ZUFF3ET

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/3ZUFF3ETM256G7ANS4NQI3XB2C \
  | 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: de6852ec9366bbe37c0d971b046ee1d0b6e688b36e36eb0d6cf8e41f038a6d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd71d9b04e9f7b3dc5a6fefd2c43e7b59fbaab2a486c4b8bbf2fd4fd08343c69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-25T08:06:09Z",
    "title_canon_sha256": "e26a43272a9b2f8a69b59682b2b84a4f952c5a20e85b4dc48d38c3db410da9c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07985",
    "kind": "arxiv",
    "version": 2
  }
}