Pith Number

pith:TVNKFSBP

pith:2010:TVNKFSBPFY7SQ6WKT27BINMEXT

not attested not anchored not stored refs pending

Selfsimilar expanders of the harmonic map flow

Melanie Rupflin, Pierre Germain

arxiv:1010.6259 v1 · 2010-10-29 · 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{TVNKFSBPFY7SQ6WKT27BINMEXT}

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	2026-05-18T02:04:54.847585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d5aa2c82f2e3f287aca9ebe143584bcc39179572ed41a34d257605f32fddcbc

Aliases

arxiv: 1010.6259 · arxiv_version: 1010.6259v1 · doi: 10.48550/arxiv.1010.6259 · pith_short_12: TVNKFSBPFY7S · pith_short_16: TVNKFSBPFY7SQ6WK · pith_short_8: TVNKFSBP

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/TVNKFSBPFY7SQ6WKT27BINMEXT \
  | 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: 9d5aa2c82f2e3f287aca9ebe143584bcc39179572ed41a34d257605f32fddcbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fde31ac99f068c74661535c15cb58b9d29f237454a82c06668b25cf4d23d5a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-29T16:15:20Z",
    "title_canon_sha256": "306e6cf9fc1a6e04cb29401b2420e07ccce827e801feb205ff791757809a2f35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.6259",
    "kind": "arxiv",
    "version": 1
  }
}