Pith Number

pith:5SECXOSQ

pith:2026:5SECXOSQ6IQ47O3IWZV5QPOYP5

not attested not anchored not stored refs pending

Nonexistence of finite-time blow-up for the equivariant harmonic map heat flow from $B^2$ to $S^2$

Dylan Samuelian

arxiv:2606.24555 v1 · 2026-06-23 · 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{5SECXOSQ6IQ47O3IWZV5QPOYP5}

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	2026-06-24T01:15:33.787081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec882bba50f221cfbb68b66bd83dd87f49a08e043fa64163f51cb3fce24bd610

Aliases

arxiv: 2606.24555 · arxiv_version: 2606.24555v1 · doi: 10.48550/arxiv.2606.24555 · pith_short_12: 5SECXOSQ6IQ4 · pith_short_16: 5SECXOSQ6IQ47O3I · pith_short_8: 5SECXOSQ

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/5SECXOSQ6IQ47O3IWZV5QPOYP5 \
  | 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: ec882bba50f221cfbb68b66bd83dd87f49a08e043fa64163f51cb3fce24bd610

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f298ebca42358cc673b1dc0c209440bf6dab4dedd884d6f88a3b62e9a863d65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-23T13:21:25Z",
    "title_canon_sha256": "7d6cb70eb731251e80ac89aaa7ca4c39ebd6b3e1667e277c1b9bc3111cdbda7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24555",
    "kind": "arxiv",
    "version": 1
  }
}