Pith Number

pith:VMQTJ2RD

pith:2025:VMQTJ2RDKSGXH4YZBSI6DPLCFF

not attested not anchored not stored refs pending

On blow-up trees for the harmonic map heat flow from $B^2$ to $S^2$

Dylan Samuelian

arxiv:2507.23583 v1 · 2025-07-31 · 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{VMQTJ2RDKSGXH4YZBSI6DPLCFF}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T11:46:27.240709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab2134ea23548d73f3190c91e1bd6229659495b852c2ca7baf6d237362464df7

Aliases

arxiv: 2507.23583 · arxiv_version: 2507.23583v1 · doi: 10.48550/arxiv.2507.23583 · pith_short_12: VMQTJ2RDKSGX · pith_short_16: VMQTJ2RDKSGXH4YZ · pith_short_8: VMQTJ2RD

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/VMQTJ2RDKSGXH4YZBSI6DPLCFF \
  | 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: ab2134ea23548d73f3190c91e1bd6229659495b852c2ca7baf6d237362464df7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53005247e75261a1f12ebd522078b89b0f2b6ebb88770984d21ccf1415194ccc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-31T14:16:58Z",
    "title_canon_sha256": "f28a6b91ca0c4f6d261e3df09e8b0025c3cdc97523066bff01e0641f22f426d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23583",
    "kind": "arxiv",
    "version": 1
  }
}