Pith Number

pith:533NMOWH

pith:2013:533NMOWHBTRLEYQBPRV3RVRYB6

not attested not anchored not stored refs pending

Quantitative Stratification and the Regularity of Harmonic Map Flow

Aaron Naber, Jeff Cheeger, Robert Haslhofer

arxiv:1308.2514 v1 · 2013-08-12 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{533NMOWHBTRLEYQBPRV3RVRYB6}

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	2026-05-18T03:16:07.148531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef6d63ac70ce2b262017c6bb8d6380f90c74a661b0af7caef703658bdc0e44e

Aliases

arxiv: 1308.2514 · arxiv_version: 1308.2514v1 · doi: 10.48550/arxiv.1308.2514 · pith_short_12: 533NMOWHBTRL · pith_short_16: 533NMOWHBTRLEYQB · pith_short_8: 533NMOWH

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/533NMOWHBTRLEYQBPRV3RVRYB6 \
  | 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: eef6d63ac70ce2b262017c6bb8d6380f90c74a661b0af7caef703658bdc0e44e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad92a7756c7ff0bec93ef7197f4ec0b908c53690b8d965f4e784c6351456d3cf",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-08-12T10:16:37Z",
    "title_canon_sha256": "fb67064a5488a303d50a545ed2c95d78b370a5fa51e31f9aed49ac942de6543f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2514",
    "kind": "arxiv",
    "version": 1
  }
}